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Describe the Hasse Diagram for the divisibility of the set A = {1, 2, 3, 5, 6 10, 15, 30}





The diameter of steel rods manufactured on two different extrusion machines are

being investigated. Two random samples of sizes "n_1" = 15 and "n_2" = 17 are selected,

and the sample means and sample variances are x̅1 = 8.73, "s_1^2" = 0.35, x̅2 =8.68, and "s_2^2" = 0.40, respectively. Assume that "\\sigma_1^2=\\sigma_2^2"

and that data are drawn from

a normal distribution. (a) Is there evidence to support the claim that the two

machines produce rods with different mean diameters? Use α = 0.05 in arriving at

this conclusion. (b) Find the P-value for the t-statistic you calculated in part (a).

[taken from Montgomery, p. 347]


Equilibrium constant for the reaction H2 + I2 2HI are 50.62 and 41.00 at 443 and 500 oC respectively Calculate change in free energy and eat of solution.




The norma boiling point of water is 100oC under what pressure will water boil at 102 oC ? The heat of vaporization of water is 2259jg-1

Express the concentration of solution in % w/v containing 12 g sodium chloride




and 50 ml of water.

Write a program that reads in 10 midday temperatures for Port Elizabeth, for 10 consecutive days.


Only temperatures higher than 0 and less than 45 are valid (working with integer values for


temperatures). It must calculate and display the following:


• The warmest temperature


• The average temperature


• The number of days that the temperature was higher than 30


• The list of temperatures entered


A sample of oxygen gas occupies a volume of 250 mL at 750 torr pressure. What volume will it occupy at 900 torr pressure?


Which of the expression below is the product of (x + 2y) and (2x - 3y)?


Given the reaction CH4 + 2O2→CO2 + 2H2O, what amount of O2 is needed to completely react with 14.0 moles CH4?




Using the integrated form of the rate law, determine the rate constant k of a zero-order reaction if the initial

concentration of substance A is 1.5 M and after 120 seconds the concentration of substance A is 0.75 M. what is the

half-life of substance A if its original concentration is 1.2 M?


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